Figure 5
From: Quantum random walks on congested lattices and the effect of dephasing
The QRW probability distribution shown at the final time step over a two-dimensional square lattice defined by tmax = 75 with no defects present.
(a) The QRW with no dephasing 
always yields a deterministic probability distribution with ballistic spreading. (b) The same QRW but with a dephasing probability of 
. It has a similar probability distribution but begins approaching classical statistics. (c) The same QRW again but with a dephasing probability of 
. Here the probability distribution becomes centred around the origin which and begins to look much like the statistics of a CRW. (d) The same QRW again but with a dephasing probability of 
. This is maximal dephasing and the walk become identical to a CRW.
